By C.J.A.P. Martins
This publication sheds new mild on topological defects in greatly differing structures, utilizing the Velocity-Dependent One-Scale version to higher comprehend their evolution. Topological defects – cosmic strings, monopoles, area partitions or others - inevitably shape at cosmological (and condensed subject) section transitions. in the event that they are good and long-lived they are going to be fossil relics of higher-energy physics. realizing their behaviour and effects is a key a part of any critical try to comprehend the universe, and this calls for modelling their evolution. The velocity-dependent one-scale version is the single totally quantitative version of illness community evolution, and the canonical version within the box. This publication presents a evaluation of the version, explaining its actual content material and describing its huge diversity of applicability.
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Additional resources for Defect Evolution in Cosmology and Condensed Matter: Quantitative Analysis with the Velocity-Dependent One-Scale Model
The validity of this process can be checked for the case of cosmic strings and domain walls, where more rigorous derivations have been presented in the previous two chapters. , monopole mass, string mass per unit length, or wall mass per unit area), and can also be written M ∼ ηn , with η being the symmetry breaking scale. 6) dt L we will see below that this ρ dependence also applies to global monopoles while for local monopoles the energy loss is proportional to ρ 2 . 8) and θ is again a parameter counting the number of particle species (or degrees of freedom) interacting with the defect.
Cabral, Phys. Rev. P. P. Martins, C. S. Shellard, Phys. Rev. Lett. 89, 271301 (2002) L. P. Avelino, Phys. Rev. D 83, 103507 (2011) Chapter 4 The Rest of the Zoo Abstract We present an extension of the velocity-dependent one-scale model suitable for describing the evolution of networks of local and global monopoles, including the cases where these are attached to various numbers of strings. We discuss the key dynamical features that need to be accounted for, in particular the fact that the driving force is due to the other monopoles (rather than being due to local curvature as in the case of extended objects) and new forms of energy loss terms due to monopole-antimonopole capture and annihilation.
There are two classes of walls which we denote edges and diagonals. In the former the wall joins two neighboring minima in field space, and there are four such walls. In the latter the wall joins two opposite minima in field space, and there are two such walls. In the limit of small ε the ratio of the diagonal and edge tensions is σd 2 + 3ε . 39) Depending on whether the diagonal walls have a tension smaller or larger than twice that of the edge ones, the formation of a Y-type or X-type junction will be favored on energetic grounds.